How to find the tangent of an angle - ACT Math
Card 0 of 36

What is the tangent of C in the given right triangle??
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Tangent = Opposite / Adjacent
Compare your answer with the correct one above
Consider a right triangle with an inner angle 
.
If

and

what is
?
Consider a right triangle with an inner angle .
If
and
what is ?
The tangent of an angle x is defined as

Substituting the given values for cos x and sin x, we get

The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Compare your answer with the correct one above

Triangle ABC shown is a right triangle. If the tangent of angle C is
, what is the length of segment BC?
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Compare your answer with the correct one above
If the sine of an angle equals
, and the cosine of the same angle equals
, what is the tangent of the angle?
If the sine of an angle equals , and the cosine of the same angle equals
, what is the tangent of the angle?

The cosine of the angle is
and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals
, and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since
, the answer is
.
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals , and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since , the answer is
.
Compare your answer with the correct one above

What is the tangent of C in the given right triangle??
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Tangent = Opposite / Adjacent
Compare your answer with the correct one above
Consider a right triangle with an inner angle 
.
If

and

what is
?
Consider a right triangle with an inner angle .
If
and
what is ?
The tangent of an angle x is defined as

Substituting the given values for cos x and sin x, we get

The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Compare your answer with the correct one above

Triangle ABC shown is a right triangle. If the tangent of angle C is
, what is the length of segment BC?
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Compare your answer with the correct one above
If the sine of an angle equals
, and the cosine of the same angle equals
, what is the tangent of the angle?
If the sine of an angle equals , and the cosine of the same angle equals
, what is the tangent of the angle?

The cosine of the angle is
and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals
, and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since
, the answer is
.
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals , and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since , the answer is
.
Compare your answer with the correct one above

What is the tangent of C in the given right triangle??
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Tangent = Opposite / Adjacent
Compare your answer with the correct one above
Consider a right triangle with an inner angle 
.
If

and

what is
?
Consider a right triangle with an inner angle .
If
and
what is ?
The tangent of an angle x is defined as

Substituting the given values for cos x and sin x, we get

The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Compare your answer with the correct one above

Triangle ABC shown is a right triangle. If the tangent of angle C is
, what is the length of segment BC?
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Compare your answer with the correct one above
If the sine of an angle equals
, and the cosine of the same angle equals
, what is the tangent of the angle?
If the sine of an angle equals , and the cosine of the same angle equals
, what is the tangent of the angle?

The cosine of the angle is
and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals
, and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since
, the answer is
.
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals , and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since , the answer is
.
Compare your answer with the correct one above

What is the tangent of C in the given right triangle??
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Tangent = Opposite / Adjacent
Compare your answer with the correct one above
Consider a right triangle with an inner angle 
.
If

and

what is
?
Consider a right triangle with an inner angle .
If
and
what is ?
The tangent of an angle x is defined as

Substituting the given values for cos x and sin x, we get

The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Compare your answer with the correct one above

Triangle ABC shown is a right triangle. If the tangent of angle C is
, what is the length of segment BC?
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Compare your answer with the correct one above
If the sine of an angle equals
, and the cosine of the same angle equals
, what is the tangent of the angle?
If the sine of an angle equals , and the cosine of the same angle equals
, what is the tangent of the angle?

The cosine of the angle is
and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals
, and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since
, the answer is
.
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals , and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since , the answer is
.
Compare your answer with the correct one above

What is the tangent of C in the given right triangle??
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Tangent = Opposite / Adjacent
Compare your answer with the correct one above
Consider a right triangle with an inner angle 
.
If

and

what is
?
Consider a right triangle with an inner angle .
If
and
what is ?
The tangent of an angle x is defined as

Substituting the given values for cos x and sin x, we get

The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Compare your answer with the correct one above

Triangle ABC shown is a right triangle. If the tangent of angle C is
, what is the length of segment BC?
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Compare your answer with the correct one above
If the sine of an angle equals
, and the cosine of the same angle equals
, what is the tangent of the angle?
If the sine of an angle equals , and the cosine of the same angle equals
, what is the tangent of the angle?

The cosine of the angle is
and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals
, and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since
, the answer is
.
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is
and the adjacent side equals
.
The sine of the angle equals , and since the hyptenuse is already
we know that we must multiply the numerator and denominator by
to get the common denominator of
. Therefore, the opposite side equals
.
Since , the answer is
.
Compare your answer with the correct one above